Solve 5sqrt{-54}

$$5 \sqrt { - 54 }$$

Evaluate (complex solution)

$$15\sqrt{6}i\approx 36.742346142i$$

Solution Steps

Factor -54=\left(3i\right)^{2}\times 6. Rewrite the square root of the product \sqrt{\left(3i\right)^{2}\times 6} as the product of square roots \sqrt{\left(3i\right)^{2}}\sqrt{6}. Take the square root of \left(3i\right)^{2}.

$$5\times \left(3i\right)\sqrt{6}$$

Multiply 5 and 3i to get 15i.

$$15i\sqrt{6}$$

Real Part (complex solution)

$$0$$

Evaluate

$$\text{Indeterminate}$$